I'm reading about modular forms and I've seen some results which only make use of elliptic points of period 2 and 3 (and cusps). I would like to know if it's possible to find elliptic points of period different from 2 and 3? Maybe it's a silly question, but in my book I haven't seen elliptic points having period say 4, 5, etc. Is this related to the fact that $X(1)$ has only two elliptic points $\mathrm{SL}_{2}(\mathbb{Z})i$ and $\mathrm{SL}_{2}(\mathbb{Z})\mu_{3}$ of periods 2 and 3, respectively?
2026-03-31 12:57:08.1774961828
About period of elliptic points
203 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in MODULAR-FORMS
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